The first thing you need to know is that there is no such edition as Office
Basic Edition 2005. 2003, yes.
The next thing you need to know is whether you paid for Office or if it's a
trial version. If it is a trial version, it's just that - a trial. It's now
time to pay for the software. If you paid extra (seems to run about $150),
did you activate the software?
When you say you had a change of hardware, does this mean a new computer? If
so, the copy of Office Basic that you purchased on one computer is limited
to that one specific computer. You can't transfer it to another.
If I've missed the point entirely, perhaps a bit more detail would help.